Cohomology of Restricted Twisted Heisenberg Lie Algebras

2025/02/10 by Yang, Yong · 1 citation
#17B50 #17B56 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2503.05879

Abstract

Over an algebraically closed ffeld F of characteristic p>0, the restricted twisted Heisenberg Lie algebras are studied. We use the Hochschild-Serre spectral sequence relative to its Heisenberg ideal to compute the trivial cohomology. The ordinary 1- and 2-cohomology spaces are used to compute the restricted 1- and 2-cohomology spaces and describe the restricted 1-dimensional central extensions, including explicit formulas for the Lie brackets and [p]-operators.

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• On the Restricted Cohomology of Twisted Heisenberg Lie Superalgebras

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